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SOME OPIAL-TYPE INEQUALITIES APPLICABLE TO DIFFERENTIAL EQUATIONS INVOLVING IMPULSES

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주제분류수학

초록

The purpose of this paper is to obtain Opial-type inequalities that are useful to study various qualitative properties of certain differential equations involving impulses. After we obtain some Opial-type inequalities, we apply our results to certain differential equations involving impulses.

Abstract

The purpose of this paper is to obtain Opial-type inequalities that are useful to study various qualitative properties of certain differential equations involving impulses. After we obtain some Opial-type inequalities, we apply our results to certain differential equations involving impulses.

참고문헌 (11)

  1. R.P. Agarwal, "Opial inequalities with applications in differential and difference equations" (1995), Kluwer Academic Publishers
  2. R. Henstock, "Lectures on the theory of integration" (1988), World Scientific
  3. C.S. HÄonig, "Volterra Stieltjes-integral equations" (1973), North Holand and American Elsevier
  4. Yung Jin Kim, "STIELTJES DERIVATIVES AND ITS APPLICATIONS TO INTEGRAL INEQUALITIES OF STIELTJES TYPE", 순수 및 응용수학, 18(1), pp.63~78 (2011), 한국수학교육학회
  5. 김영진, "STIELTJES DERIVATIVE METHOD FOR INTEGRAL INEQUALITIES WITH IMPULSES", 순수 및 응용수학, 21(1), pp.61~75 (2014), 한국수학교육학회
  6. P. Krejci, "A nonexistence result for the Kurzweil integral", Math. Bohem, 127, pp.571~580 (2002)
  7. W.F. Pfeffer, "The Riemann approach to integration: local geometric theory" (1993), Cambridge University Press
  8. A.M. Samoilenko, "Impulsive differential equations" (1995), World Scientific
  9. S. Schwabik, "Generalized ordinary differential equations" (1992), World Scientific
  10. S. Schwabik, "Differntial and integral equations: boundary value problems and adjoints" (1979), Academia and D. Reidel
  11. M. Tvrdy, "Regulated functions and the Perron-Stieltjes integral", Casopis pest. mat, 114(2), pp.187~209 (1989)

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